A quantum cosmology and discontinuous signature changing classical solutions

Abstract

We revisit the classical and quantum cosmology of a universe in which a self interacting scalar field is coupled to gravity with a flat FRW type metric undergoing continuous signature transition. We arrange for quantum cosmologically allowed discontinuity in the classical solutions at the signature changing hypersurface, provided these solutions be dual in some respects. This may be of some importance in the study of early universe within the signature changing scenarios.

11 pages, Latex, title and abstract changed, some cghanges in the text, to appear in GRG

References in corpus (5)

• The Scalar Field Equation in the Presence of Signature Change
• Signature Change on the Brane
• Topology and Signature Changes in Braneworlds
• On signature transition in Robertson-Walker cosmologies
• Large scale-small scale duality and cosmological constant

Cited by in corpus (12)

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• f(T) Quantum Cosmology
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• Classical and quantum cosmology of minimal massive bigravity
• Quantum Stephani Universe in vicinity of the symmetry center
• On cosmological constant of Generalized Robertson-Walker space-times
• Singularity at the demise of a black hole
• Signature Change by GUP
• Quantum cosmology in teleparallel gravity with a boundary term